So, if bad grammar -> human. If good grammar -> could be both?
I think we just have to embrace the fact that any text could be wholly/partially LLM generated. An LLM could be asked to introduce errors (or a human could edit the output, either to purposefully introduce errors, or naturally introduce errors as part of their process). We should focus on:
1. Developing our skills to verify people's claims (which has always been important)
2. Trying to understand the motivations/agenda behind the text (which I reckon is even more important still)
The above two steps insulate you from a wide range of propaganda/trickery, and are the sorts of things we should have been focusing on in schools for decades already.